A Modern Approach to Probability Theory

A Modern Approach to Probability Theory PDF Author: Bert E. Fristedt
Publisher: Springer Science & Business Media
ISBN: 1489928375
Category : Mathematics
Languages : en
Pages : 775

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Book Description
Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from the beginning graduate level to the point of specialization in research areas of current interest. The book is designed for a two- or three-semester course, assuming only courses in undergraduate real analysis or rigorous advanced calculus, and some elementary linear algebra. A variety of applications—Bayesian statistics, financial mathematics, information theory, tomography, and signal processing—appear as threads to both enhance the understanding of the relevant mathematics and motivate students whose main interests are outside of pure areas.

A Modern Approach to Probability Theory

A Modern Approach to Probability Theory PDF Author: Bert E. Fristedt
Publisher: Springer Science & Business Media
ISBN: 1489928375
Category : Mathematics
Languages : en
Pages : 775

Get Book

Book Description
Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from the beginning graduate level to the point of specialization in research areas of current interest. The book is designed for a two- or three-semester course, assuming only courses in undergraduate real analysis or rigorous advanced calculus, and some elementary linear algebra. A variety of applications—Bayesian statistics, financial mathematics, information theory, tomography, and signal processing—appear as threads to both enhance the understanding of the relevant mathematics and motivate students whose main interests are outside of pure areas.

A Modern Introduction to Probability and Statistics

A Modern Introduction to Probability and Statistics PDF Author: F.M. Dekking
Publisher: Springer Science & Business Media
ISBN: 1846281687
Category : Mathematics
Languages : en
Pages : 488

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Book Description
Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books

Modern Probability Theory and Its Applications

Modern Probability Theory and Its Applications PDF Author: Emanuel Parzen
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages : 666

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Book Description


Radically Elementary Probability Theory. (AM-117), Volume 117

Radically Elementary Probability Theory. (AM-117), Volume 117 PDF Author: Edward Nelson
Publisher: Princeton University Press
ISBN: 1400882141
Category : Mathematics
Languages : en
Pages : 107

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Book Description
Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.

Foundations of Modern Probability

Foundations of Modern Probability PDF Author: Olav Kallenberg
Publisher: Springer Science & Business Media
ISBN: 9780387953137
Category : Mathematics
Languages : en
Pages : 670

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Book Description
The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.

Creating Modern Probability

Creating Modern Probability PDF Author: Jan von Plato
Publisher: Cambridge University Press
ISBN: 9780521597357
Category : Mathematics
Languages : en
Pages : 336

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Book Description
In this book the author charts the history and development of modern probability theory.

Modern Probability Theory

Modern Probability Theory PDF Author: B. Ramdas Bhat
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 296

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Book Description
A comprehensive treatment, unique in covering probability theory independently of modern theory. New edition features additional problems, examples that show scope and limitations of various results, and enlarged chapters on laws of large numbers, extensions, and generalizations.

Probability

Probability PDF Author: Davar Khoshnevisan
Publisher: American Mathematical Soc.
ISBN: 0821842153
Category : Probabilities
Languages : en
Pages : 242

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Book Description
This is a textbook for a one-semester graduate course in measure-theoretic probability theory, but with ample material to cover an ordinary year-long course at a more leisurely pace. Khoshnevisan's approach is to develop the ideas that are absolutely central to modern probability theory, and to showcase them by presenting their various applications. As a result, a few of the familiar topics are replaced by interesting non-standard ones. The topics range from undergraduate probability and classical limit theorems to Brownian motion and elements of stochastic calculus. Throughout, the reader will find many exciting applications of probability theory and probabilistic reasoning. There are numerous exercises, ranging from the routine to the very difficult. Each chapter concludes with historical notes.

Probability Theory

Probability Theory PDF Author: Nikolai Dokuchaev
Publisher: World Scientific Publishing Company
ISBN: 9814678058
Category : Business & Economics
Languages : en
Pages : 224

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Book Description
This book provides a systematic, self-sufficient and yet short presentation of the mainstream topics on introductory Probability Theory with some selected topics from Mathematical Statistics. It is suitable for a 10- to 14-week course for second- or third-year undergraduate students in Science, Mathematics, Statistics, Finance, or Economics, who have completed some introductory course in Calculus. There is a sufficient number of problems and solutions to cover weekly tutorials.

The Theory of Probability

The Theory of Probability PDF Author: Santosh S. Venkatesh
Publisher: Cambridge University Press
ISBN: 1107024471
Category : Mathematics
Languages : en
Pages : 830

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Book Description
From classical foundations to modern theory, this comprehensive guide to probability interweaves mathematical proofs, historical context and detailed illustrative applications.